Finding the Fourth Proportional to 1,852.57, 2,557.42 and 1,066.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,852.57 : 2,557.42 = 1,066.47 : x
2. Step 2: Convert to fraction form
   1,852.57/2,557.42 = 1,066.47/x
3. Step 3: Cross multiply
   1,852.57x = 2,557.42 × 1,066.47
4. Step 4: Simplify right side
   1,852.57x = 2,727,405.45
5. Step 5: Solve for x
   x = 2,727,405.45/1,852.57
6. Step 6: Final answer
   x = 1,472.23